Fluctuation-dissipation relations for strongly correlated out-of-equilibrium circuits
Inès Safi
Abstract
We consider strongly correlated quantum circuits where a dc drive is added on top of an initial out-of-equilibrium (OE) stationary state. Within a perturbative approach, we derive unifying OE fluctuation relations for high-frequency current noise, shown to be completely determined by zero-frequency noise and dc current. We apply them to the fractional quantum Hall effect at arbitrary incompressible filling factors, driven by OE sources, without knowledge of the underlying model. We show that such OE relations provide robust methods for an unambiguous determination of the fractional charge or of key interaction parameters entering in the exploration of anyonic statistics within an anyon collider.
Topics & Concepts
AnyonNoise (video)PhysicsDissipationQuantum Hall effectFractional quantum Hall effectElectronic circuitCharge (physics)State (computer science)CompressibilityZero (linguistics)Statistical physicsQuantum mechanicsQuantumQuantum electrodynamicsMathematicsElectronTopological quantum computerComputer scienceMechanicsLinguisticsImage (mathematics)PhilosophyAlgorithmQuantum spin Hall effectArtificial intelligenceQuantum and electron transport phenomenaAdvanced Thermodynamics and Statistical MechanicsQuantum Computing Algorithms and Architecture